Prime p₀= 2716269301935412427 starts a Symmetric tuple of 10 consecutive primes, which form 5 twin primes (STPT).
d_n: 0 2 10 2 28 2 28 2 10 2 (?)
a_n: 0 2 12 14 42 44 72 74 84 86
All 10 integers p_n = p₀+a_n = p_n-1+d_n are prime and there are no other primes in the gaps.
diameter: 86
Found by: suriv
db: batch=82, k=10, 2 10 2 28 2

STPT(10)	2716267090570612121	0 2 6 8 48 50 90 92 96 98	-2211364800306
STPT(10)	2716267496666191997	0 2 60 62 72 74 84 86 144 146	-1805269220430
SPT(16)	2716267784402635357	0 10 16 72 94 96 136 156 250 270 310 312 334 390 396 406	-1517532777070
STPT(10)	2716268149793310947	0 2 42 44 102 104 162 164 204 206	-1152142101480
STPT(10)	2716268592302653931	0 2 6 8 48 50 90 92 96 98	-709632758496
TPT(14)	2716269132161431991	0 2 6 8 18 20 138 140 180 182 210 212 306 308	-169773980436
STPT(10)	2716269401382743279	0 2 138 140 150 152 162 164 300 302	99447330852
SPT(16)	2716269601238890117	0 24 40 42 54 102 120 130 246 256 274 322 334 336 352 376	299303477690
STPT(10)	2716269870188263559	0 2 42 44 60 62 78 80 120 122	568252851132
STPT(10)	2716270296707136941	0 2 36 38 78 80 120 122 156 158	994771724514
STPT(10)	2716270713242973881	0 2 36 38 78 80 120 122 156 158	1411307561454